List of top Questions asked in JEE Main

\(I(x)=\int\frac{6dx}{sin^2x(1+\cot x)^2}\)and I(0) then I (\(\frac{\pi}{2}\)) is equal to

If the length of focal chord of y² = 12x is 15 and if the distance of the focal chord from origin is p then 10p² is equal to:

If $f(x)= 3\sqrt{(x-2)}+\sqrt{4-x }$ If minimum value = α Maximum value = β find $α2 + β2 $.

If a gas absorbs $200J$ of heat and expands by $500$ cm${}^3$ against a constant pressure of $2\times {10}^{5}N{m}^{-2},$ then the change in internal energy is:

If the normal at point P $$$(a{t}_1^2,2a{t}_1)$ and $Q$$(a{t}_2^2,2a{t}_2)$ on the parabola $y^2=4ax$ meet on the parabola, the$t_1{t}_2$ equals

$PQ$ and $RS$ are two perpendicular chords of the rectangular hyperbola $xy=c^2$. If $C$ is the centre of the rectangular hyperbola, then the product of the slopes of $CP,CQ,CR$ and $CS$ is equal to:

The correct order of increasing $C-O$ bond length of $CO, C{O}_3^{2-}, C{O}_2$ is:

An isolated system contains one mole of helium, given a heat of 48 J. If the temperature of the system changes by 2°C, then find work done. (take R = 8.35/mole-K)

A body sliding on a frictionless track which terminates in a straight horizontal section CD. The body starts slipping from A and reaches point D. If h1 = 1 m, then how far from point D, will the body hit the ground?Take, g = 10 ms^-2.

In the metal carbonyls of the general formula M(CO)x where M = metal x = 4, EAN rule is satisfied for atomic number of M equal to:

In the formula, $X=3Y{Z}^2,X$ and $Z$ have dimensions of capacitance and magnetic field respectively. What are the dimensions of $\mathrm{Y}$ in the MKSQ system?

The circle $x^2+y^2+4x-7y+12=0$ cuts an intercept on $y$ -axis of length

Find the equation of normal to the curve$$y=(1+x{)}^y+{\sin }^{-1}({\sin }^{2}x)\text{at}x=0$$

The derivative of $se{c}^{-1} \left(\frac{1}{2x^2-1}\right)$ with respect to $\sqrt{1-x^2}$ at $x=\frac{1}{2}$ is:

The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is:

If A = {1, 2, 3, 4, 6} and R is a relation on A such that R = {(a, b) : a, b ∈ A and b is exactly divisible by a} then find the number of elements present in the range of R?

The number of terms of an $AP$ is even. The sum of the odd terms is $24$ and of the even terms is $30$. The last term exceeds the first by $10\frac{1}{2}$. Then the number of terms in the series is ______.

Which of the following is a set of essential amino acids?

Which of the following compound is optically active?

Among the following four aromatic compounds, which one will have the lowest melting point?

Amongst the following, the most basic compound is:

Which substance is produced when alcohol is added with petrol and used as a fuel?

Phenol on reduction with H2 in the presence of Ni catalyst gives:

An aromatic compound 'A' C7H6Cl2  gives white precipitate on boiling with AgNO3 solution and yields C7H7OCl on treatment with NaOH.  'A' on oxidation gives a monochloro benzoic acid which affords only one mononitroderivative.  The compound A is:

The shapes of the compounds XeF2, XeF4, XeO3 and XeO4 respectively are: